Geodesic
Weighted inequalities for anisotropic maximal functions
Časopis pro pěstování matematiky, Tome 110 (1985) no. 4, pp. 384-393

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1985.118255
Classification : 42B25 
Kokilashvili, Vachtang Michailovič; Rákosník, Jiří. Weighted inequalities for anisotropic maximal functions. Časopis pro pěstování matematiky, Tome 110 (1985) no. 4, pp. 384-393. doi: 10.21136/CPM.1985.118255
@article{10_21136_CPM_1985_118255,
     author = {Kokilashvili, Vachtang Michailovi\v{c} and R\'akosn{\'\i}k, Ji\v{r}{\'\i}},
     title = {Weighted inequalities for anisotropic maximal functions},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {384--393},
     year = {1985},
     volume = {110},
     number = {4},
     doi = {10.21136/CPM.1985.118255},
     mrnumber = {820330},
     zbl = {0605.42016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1985.118255/}
}
TY  - JOUR
AU  - Kokilashvili, Vachtang Michailovič
AU  - Rákosník, Jiří
TI  - Weighted inequalities for anisotropic maximal functions
JO  - Časopis pro pěstování matematiky
PY  - 1985
SP  - 384
EP  - 393
VL  - 110
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1985.118255/
DO  - 10.21136/CPM.1985.118255
LA  - en
ID  - 10_21136_CPM_1985_118255
ER  - 
%0 Journal Article
%A Kokilashvili, Vachtang Michailovič
%A Rákosník, Jiří
%T Weighted inequalities for anisotropic maximal functions
%J Časopis pro pěstování matematiky
%D 1985
%P 384-393
%V 110
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1985.118255/
%R 10.21136/CPM.1985.118255
%G en
%F 10_21136_CPM_1985_118255

[1] L. Carleson P. Jones: Weighted norm inequalities and a theorem of Koosis. Mittag-Leffler Inst., Rep. No. 2, 1981.

[2] C. Fefferman E. M. Stein: Some maximal inequalities. Amer. J. Math. Soc. 93 (1971), 107-115. | DOI | MR

[3] A. E. Gatto C. E. Gutiérrez: On weighted norm inequalities for the maximal function. Studia Math. 81 (1983), 59-62. | MR

[4] M. de Guzmán: A covering lemma with applications to differentiability of measures and singular integral operators. Studia Math. 34 (1970), 290-317. | MR

[5] V. M. Kokilashvili J. Rákosník: Weighted inequalities for vector-valued anisotropic maximal functions. (To appear in Z. Anal. Anwendungen (1985).) | MR

[6] P. Koosis: Moyennes quadratiques pondérées de fonctions périodiques et de leur conjuguees harmoniques. C R. Acad. Sci. Paris, Ser. A 291 (1980), 255-257. | MR

[7] B. Maurey: Théorèmes de factorisation pour les operateur linéaires à valeur dans les espaces Lp. Astérisque, No. 11, Soc. math, de France, 1974. | MR

[8] B. Muckenhoupt: Weighted norm inequalities for the Hardy maximal function. Trans. Amer. Math. Soc. 165 (1972), 207-226. | DOI | MR | Zbl

[9] B. Muckenhoupt: Weighted norm inequalities for classical operators. Harm. Anal. Euclidean Spaces. Proc. Symp. Pure Math., vol. 35, part 1, Amer. Math. Soc., Providence, R. I. 1979, 51-60. | MR | Zbl

[10] J. L. Rubio de Francia: Boundedness of maximal functions and singular integrals in weighted Lp spaces. Proc. Amer. Math. Soc. 83 (1981), 673-679. | MR

[11] E. T. Sawyer: Two weighted norm inequalities for certain maximal and integral operators. Proc. Conference Harmonic Analysis. Lecture Notes Math., vol. 908, Springer-Verlag. Berlin-Heidelberg-New York, 1982, 102-107. | MR

[12] W. S. Young: Weighted norm inequalities for the Hardy-Littlewood maximal functions. Proc. Amer. Math. Soc. 85 (1982), 24-26. | DOI | MR

[13] A. Zygmund: Trigonometric series, vol. II. Second Ed. Cambridge Univ. Press, 1959. | MR

Cité par Sources :